We look at the division of 357734 by 97 
We want to figure out the number of times 357734 can be divided by 97.

On to step 1:
If we divide 3 by 97, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 97

Step 2:
The number 97 fits into 35 0 times, leaving a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 97

Let's proceed to step 3:
97 goes into 357 3 times with a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 291 from 357 to get 66.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 97

Moving on to step 4:
If we divide 667 by 97, we get 6 and a remainder of 85.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
The remainder is 85 after subtracting 582 from 667.
Grab the next digit (3) from the dividend, add it to 85, then carry on: 853 / 97

On to step 5:
When dividing 853 by 97, we get 8 with a remainder of 77.
The number 8 becomes the next digit in our result. 
Result so far: 368.0
The remainder is 77 after subtracting 776 from 853.
Bring next digit (4) of the dividend behind the 77 and repeat the process: 774 / 97

Going ahead to step 6:
97 goes into 774 7 times with a remainder of 95.
Write down 7 as next digit of the result. 
Result so far: 3687.0
The remainder is 95 after subtracting 679 from 774.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Advancing to step 7:
97 goes into 950 9 times with a remainder of 77.
The next digit of our result is 9. 
Result so far: 3687.9
Deduct 873 from 950 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 8:
When dividing 770 by 97, we get 7 with a remainder of 91.
Write down 7 as next digit of the result. 
Result so far: 3687.97
Deduct 679 from 770 and we're left with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

On to step 9:
97 goes into 910 9 times with a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 3687.979
Deduct 873 from 910 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
If we divide 370 by 97, we get 3 and a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 3687.9793
If we subtract 291 from 370, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 11:
The number 97 fits into 790 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 3687.97938
Subtract 776 from 790 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
If we divide 140 by 97, we get 1 and a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 3687.979381
Deduct 97 from 140 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 13:
When dividing 430 by 97, we get 4 with a remainder of 42.
The next digit of our result is 4. 
Result so far: 3687.9793814
Deduct 388 from 430 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 14:
97 can be fit into 420 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 3687.97938144
Subtracting 388 from 420 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 3687.97938144, with a leftover of 3.2e-08.